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Finding the Third Proportional to 580,417.75 and 1,219,587.50

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Solution

The third proportional to 580,417.75 and 1,219,587.50 is: 2,562,626.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,417.75 : 1,219,587.50 = 1,219,587.50 : x
  2. Step 2: Convert to fraction form
    580,417.75/1,219,587.50 = 1,219,587.50/x
  3. Step 3: Cross multiply
    580,417.75x = 1,219,587.50 × 1,219,587.50
  4. Step 4: Simplify right side
    580,417.75x = 1,487,393,670,156.25
  5. Step 5: Solve for x
    x = 1,487,393,670,156.25/580,417.75
  6. Step 6: Final answer
    x = 2,562,626.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.